Hofstadter butterflies for flat bands

Details Hofstadter butterflies for flat bands Hofstadter butterflies for flat bands

1996-07-31

arxiv.org/abs/cond-mat/9607223v1

Physics

Condensed Matter

9 pages, revtex, 4 figures available on request from aoki@phys.s.u-tokyo.ac.jp

Scientific paper

10.1103/PhysRevB.54.R17296

Hofstadter's diagram, or the energy spectrum against the magnetic field in tight-binding systems, is obtained for the models having flat (dispersionless) one-electron band(s) that have originally been proposed for itinerant spin ferromagnetism. Magnetic fields preserve those flat bands that arise from a topological reason, while dispersions emerge in a singular manner for the flat bands arising from interference, implying an anomalous orbital magnetism.

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